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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2022
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2207.05947 |
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| _version_ | 1866910411298701312 |
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| author | Li, Cai Heng Tej, Venkata Raghu |
| author_facet | Li, Cai Heng Tej, Venkata Raghu |
| contents | In the recent years, the generalization of the Erdős-Ko-Rado (EKR) theorem to permutation groups has been of much interest. A transitive group is said to satisfy the EKR-module property if the characteristic vector of every maximum intersecting set is a linear combination of the characteristic vectors of cosets of stabilizers of points. This generalization of the well-know permutation group version of the Erdős-Ko-Rado (EKR) theorem, was introduced by K. Meagher. In this article, we present several infinite families of permutation groups satisfying the EKR-module property, which shows that permutation groups satisfying this property are quite diverse. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2207_05947 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | On the EKR Module property Li, Cai Heng Tej, Venkata Raghu Combinatorics In the recent years, the generalization of the Erdős-Ko-Rado (EKR) theorem to permutation groups has been of much interest. A transitive group is said to satisfy the EKR-module property if the characteristic vector of every maximum intersecting set is a linear combination of the characteristic vectors of cosets of stabilizers of points. This generalization of the well-know permutation group version of the Erdős-Ko-Rado (EKR) theorem, was introduced by K. Meagher. In this article, we present several infinite families of permutation groups satisfying the EKR-module property, which shows that permutation groups satisfying this property are quite diverse. |
| title | On the EKR Module property |
| topic | Combinatorics |
| url | https://arxiv.org/abs/2207.05947 |